## Abstract Let __S__ be a blocking set in an inversive plane of order __q__. It was shown by Bruen and Rothschild 1 that |__S__| ≥ 2__q__ for __q__ ≥ 9. We prove that if __q__ is sufficiently large, __C__ is a fixed natural number and |__S__ = 2__q__ + __C__, then roughly 2/3 of the circles of the
Inversive Planes, Minkowski Planes and Regular Sets of Points
✍ Scribed by Gloria Rinaldi
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 94 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
✦ Synopsis
New examples of regular sets of points for the Miquelian inversive planes of order q, q a prime power, q ≥ 7, are found and connections between such planes and certain Minkowski planes of order q 2 are presented.
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